The Carey Foster Bridge demonstrates opposite deflections in a galvanometer due to the arrangement of resistances and the voltage distribution across the bridge. When the bridge is balanced, the galvanometer shows no deflection; however, when unbalanced, the current direction changes, causing opposite deflections at each end. The behavior is influenced by the specific resistances in the circuit, which affect the potential difference experienced by the galvanometer. For a comprehensive understanding, a detailed examination of the bridge's configuration and the underlying principles of electrical circuits is essential. Further resources, such as the provided PDF, can offer in-depth explanations and visual aids.